Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²×3_-¹⁺²

Direct product G=N×Q with N=C₃ and Q=C₂²×3_-¹⁺²

		d	ρ	Label	ID
C₂×C₆×3_-¹⁺²		108		C2xC6xES-(3,1)	324,153

Semidirect products G=N:Q with N=C₃ and Q=C₂²×3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂²×3_-¹⁺²) = C₂×S₃×3_-¹⁺²	φ: C₂²×3_-¹⁺²/C₂×3_-¹⁺² → C₂ ⊆ Aut C₃	36	6	C3:(C2^2xES-(3,1))	324,141

Non-split extensions G=N.Q with N=C₃ and Q=C₂²×3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₂²×3_-¹⁺²) = C₂²×C₃²⋊C₉	central extension (φ=1)	108		C3.1(C2^2xES-(3,1))	324,82
C₃.₂(C₂²×3_-¹⁺²) = C₂²×C₉⋊C₉	central extension (φ=1)	324		C3.2(C2^2xES-(3,1))	324,83

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Extensions 1→N→G→Q→1 with N=C3 and Q=C22×3- 1+2